which represents the solutions of the graphed system of equations, y=x^2-2x and y=-2x-1

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the equation:

y = -2x - 1

y = x^2 - 2x 

Determine the solutions.

Solution:

In order to determine the solution, we solve for x and y. To do so equate the value of y from the 2nd equation to the first equation.

y = -2x - 1

y = -2(x^2 - 2x) - 1

y = -2x^2 + 4x - 1

If we factor the given equation, we will have no resulting values of x, therefore what we can conclude based on the systems of equation, is that it does not have solutions.

Final answer:

No Solution